82 citations · 552 across the 32 of their papers we have counts for
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nlin.CD2020★ 3 cited
Instability of mixing in the Kuramoto model: From bifurcations to patterns
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
We study patterns observed right after the loss of stability of mixing in the Kuramoto model of coupled phase oscillators with random intrinsic frequencies on large graphs, which c…
math.PR2020
The large deviation principle for interacting dynamical systems on random graphs
Paul Dupuis, Georgi Medvedev
Using the weak convergence approach to large deviations, we formulate and prove the large deviation principle (LDP) for W-random graphs in the cut-norm topology. This generalizes t…
nlin.AO2020★ 9 cited
Stability of clusters in the second-order Kuramoto model on random graphs
Georgi S. Medvedev, Matthew S. Mizuhara
The Kuramoto model of coupled phase oscillators with inertia on Erdos-Renyi graphs is analyzed in this work. For a system with intrinsic frequencies sampled from a bimodal distribu…